729617040 has 120 divisors (see below), whose sum is σ = 2556889920. Its totient is φ = 186100992.

The previous prime is 729616907. The next prime is 729617041. The reversal of 729617040 is 40716927.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 729616986 and 729617004.

It is not an unprimeable number, because it can be changed into a prime (729617041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5470 + ... + 38589.

It is an arithmetic number, because the mean of its divisors is an integer number (21307416).

Almost surely, 2^729617040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729617040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278444960).

729617040 is an abundant number, since it is smaller than the sum of its proper divisors (1827272880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

729617040 is a wasteful number, since it uses less digits than its factorization.

729617040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44101 (or 44092 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 729617040 is about 27011.4242497503. The cubic root of 729617040 is about 900.2538543170.

It can be divided in two parts, 7296 and 17040, that added together give a square (24336 = 156²).

The spelling of 729617040 in words is "seven hundred twenty-nine million, six hundred seventeen thousand, forty".